{
 "cells": [
  {
   "cell_type": "markdown",
   "source": [
    "## 线性SVM"
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn import svm\n",
    "\n",
    "data = np.array([\n",
    "    [0.1, 0.7],\n",
    "    [0.3, 0.6],\n",
    "    [0.4, 0.1],\n",
    "    [0.5, 0.4],\n",
    "    [0.8, 0.04],\n",
    "    [0.42, 0.6],\n",
    "    [0.9, 0.4],\n",
    "    [0.6, 0.5],\n",
    "    [0.7, 0.2],\n",
    "    [0.7, 0.67],\n",
    "    [0.27, 0.8],\n",
    "    [0.5, 0.72]\n",
    "])\n",
    "label = [1] * 6 + [0] * 6\n",
    "x_min, x_max = data[:, 0].min() - 0.2, data[:, 0].max() + 0.2\n",
    "y_min, y_max = data[:, 1].min() - 0.2, data[:, 1].max() + 0.2\n",
    "xx, yy = np.meshgrid(np.arange(x_min, x_max, 0.002),\n",
    "                     np.arange(y_min, y_max, 0.002)) # meshgrid如何生成网格\n",
    "model_linear = svm.SVC(kernel='linear', C = 0.001)\n",
    "model_linear.fit(data, label) # 训练\n",
    "Z = model_linear.predict(np.c_[xx.ravel(), yy.ravel()]) # 预测\n",
    "Z = Z.reshape(xx.shape)\n",
    "plt.contourf(xx, yy, Z, cmap = plt.cm.ocean, alpha=0.6)\n",
    "plt.scatter(data[:6, 0], data[:6, 1], marker='o', color='r', s=100, lw=3) \n",
    "plt.scatter(data[6:, 0], data[6:, 1], marker='x', color='k', s=100, lw=3)\n",
    "plt.title('Linear SVM')\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {}
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "## 多项式SVM\n",
    "对比不同最高次数的分类情况"
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "source": [
    "plt.figure(figsize=(16, 15))\n",
    " \n",
    "for i, degree in enumerate([1, 3, 5, 7, 9, 12]):\n",
    "    # C: 惩罚系数，gamma: 高斯核的系数\n",
    "    model_poly = svm.SVC(C=0.0001, kernel='poly', degree=degree) # 多项式核\n",
    "    model_poly.fit(data, label)\n",
    "    # ravel - flatten\n",
    "    # c_ - vstack\n",
    "    # 把后面两个压扁之后变成了x1和x2，然后进行判断，得到结果在压缩成一个矩形\n",
    "    Z = model_poly.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "    Z = Z.reshape(xx.shape)\n",
    "\n",
    "    plt.subplot(3, 2, i + 1)\n",
    "    plt.subplots_adjust(wspace=0.4, hspace=0.4)\n",
    "    plt.contourf(xx, yy, Z, cmap=plt.cm.ocean, alpha=0.6)\n",
    " \n",
    "    # 画出训练点\n",
    "    plt.scatter(data[:6, 0], data[:6, 1], marker='o', color='r', s=100, lw=3)\n",
    "    plt.scatter(data[6:, 0], data[6:, 1], marker='x', color='k', s=100, lw=3)\n",
    "    plt.title('Poly SVM with $\\degree=$' + str(degree))\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "image/png": 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97yosLNRTTz2l9u3ba/v27WaXBAAAAAQFsjQAcGchEHLmz5+vCRMmKDk5WX/84x/NLgcAAAAIGmRpAODOQgAAAAAAAAAXcWchAAAAAAAAAEk0CwEAAAAAAABc1MrsAjxRWVmpI0eOKD4+XhaLxexyAACACQzD0JkzZ9SlSxdFRHC9E/AUWRoAAEie5+mgaBYeOXJEqampZpcBAAACwKFDh3TppZeaXQYQNMjSAACgusbydFA0C+Pj4yVJf9u5R3EXf0fzvbfrsCqMSu09xCpfAIDAV/Z9mZb952JXLgDgGbI0/vXdGe0t+rckkf0BIIx5mqeDolnoHC4RFx+v+IQEk6sJHXf1v1Irdx5Q7/SHNPmxhRr7sNXskgAAaBTDKAHvkKVxbUKCrrWl6J3Pv1bv9Ie0++CLZpcEADBRY3maCX/CnMNuU68ubVUwK08rCg6bXQ4AAAAAP8nO6CpJSk/L0ZJ5FSZXAwAIVDQLoZ7tEhQVGalp8/OVnpZjdjkAAAAA/KT6zQLpaTnauPZLs0sCAAQYmoWQJA1LT5HDbpMkFR7PMrUWAAAAAP7Ts12CHHabLLIoL3em2eUAAAIMzULU4LDbNKJvd6Wn5TAsGQAAAAhhw+1pssii9LQcLV7DitkAgCo0C1GHw25TUlysps3PN7sUAAAAAH403J4mh92m2eOHMMIIACCJZiHqkdUtWVZLhNLTcggNAAAAQIjr1aWta4QRACC80SxEvbIzurqGJbNaGgAAABC6qs9jyLBkAAhvNAvRKFZLAwAAAMJD9WHJ3DAAAOGJZiEa5bzKaLVEsFoaAAAAEAaS4mJdNwwAAMILzUJ4LDujK8MSAAAAgDCQ1S2ZYckAEKZoFsIr1YclrCg4bHY5AAAAAPxouD1NSXGxDEsGgDDSyuwCEJyS4mI1bX6+JGn3wRdNrgYAAACAv2R1S9aek8UqmJUnifwPAKGOOwvRJLWHJQAAAAAIXdXnMSf/A0Boo1mIZhluT5MkpaflMCwBAAAACHHZGV0lkf8BIJTRLESzOew212ppG9d+aXY5AAAAAPzIYbepV5e2rtWS+Q4AAKGFZiF8IqtbsqIiI5WXO5NhCQAAAECIqz4sOS93ptnlAAB8iGYhfGZYeoocdpskafGaVHOLAQAAAOB32RldXfOY8x0AAEIDqyHD5xx2mzR+iCRp4eIpGnTL5eYWBAAAAMBvnPOYO78DsFoyAAQ37iyEXzjsNtewZAAAAAChzznKiGmJACC40SyE3wxLT3ENSSg8nmV2OQAAAAD8zGG3MSwZAIIczUL41XB7mhx2m0b07a4l8yrMLgcAAACAnzm/A8weP4TvAAAQhGgWokX06tJWBbPyGJIAAAAAhImkuFi+AwBAEKJZiBbRs12CHHabrJYIwgIAAAAQBrK6Jdf4DsDURAAQHGgWokVlZ3SVVDXpMUMSAAAAgNCXndGVqYkAIIjQLESLc9htrmHJTHoMAAAAhAemJgKA4ECzEKbo2S5BSXGxmj1+CGEBAAAACAO1pybauPZLs0sCALhBsxCmcc5hYpGF+UsAAACAMJGd0VVWS4Tycmcy0ggAAhDNQphuuD1NI/p2V3pajlYUHDa7HAAAAAB+lp3RVb26tHWNNOIuQwAIHDQLERAcdpuS4mI1bX6+2aUAAAAAaAHOYclRkZHKy51pdjkAgItoFiJgZHVLds1fwrBkAAAAIDwMS0+RRRalp+UwLBkAAkArswsAqsvO6Or6/dFF+5Q75JCJ1QAAAABoCcPtaVW/jB8iSdp98EUTqwGA8MadhQhIzF8CAAAAhB/nAojpaTlmlwIAYYtmIQIS85cAAAAA4Wm4Pc3VMGR6IgBoeTQLEdCYvwQAAAAIP8PtaXLYbRrRtzvfAwCghdEsRMBzBoXZ44cQFAAAAIAwUn16IgBAy6BZiKBBUAAAAADCi3N6IqslgmHJANBCaBYiaDiDgnNYMgufAAAAAOEhO6Ora1jyknkVZpcDACGNZiGCjnPC47zcmQQFAAAAIIz06tJWBbPyuHkAAPyIZiGC0nB7misoEBIAAACA8FB9WDI3DwCAf9AsRNDq2S5BUZGRysudyTyGAAAAQBjJzuiqqMhIFczKYxFEAPAxmoUIasPSU+Sw2ySJkAAAAACEEed3AeciiIw4AgDfoFmIkFA9JKwoONykc+xaX6jCd7d5tG/hu9u0a31hk14HAAAACDXLl7ykxXOf92jfxXOf1/IlL/nstR12m2vEEQCg+VqZXQDgKw67Tat3f6Np8/O1++CLXh27a32hNr28zvW499A+9e5b+O42bVm+0fW41029vS8WAAAACBHLl7ykxyc94nqcO/GRevddPPd5PTNtquvxqLE/80kNw9JTtGrnQaWn5ejRRWuUO+SQT84LAOGIOwsRUoalp8hqiVB6Wo4Kj2d5dEztRuGW5RvrvcOwdqNw08vruMMQAAAAYat2o/CZaVPrvcOwdqPw8UmP+PQOw+H2NIYlA4AP0CxEyMnO6CqH3aYRfbt71DAsP19eZ5u7hmHtRmFDxwMAAADh4NzZs3W2uWsY1m4UNnR8c1VfLRkA4L0mNQvnzZsnm82mmJgY9e/fX5988kmD+z/33HPq2bOnLrnkEqWmpuqXv/ylzp8/36SCAU/16tJWI/p2b3Sl5N5D++j6UYPqbK/eMKyvUXj9qEENDlkGAACojSyNUJI78RFNnfFMne3VG4b1NQqnznimwSHLzZGd0dXrEUcAgCpez1n4+uuva9KkSVqwYIH69++v5557Trfeeqv27Nmj5OTkOvsvW7ZMkydP1ksvvaSBAwdq7969Gjt2rCwWi+bMmeOTNwG407Ndgnq2S9A7n3+t9LQcLVw8RYNuudztvs6GX+2G4JblG1X43jaV/PtcnWNoFAIAAG+RpRGKnA2/2g3BZ6ZN1Yvzf6+j335b5xh/NgqdsjO6VnvUXTMmTNeIyZf69TUBIBR4fWfhnDlzNH78eI0bN05XXnmlFixYoNjYWL30kvu5Jj7++GP96Ec/0j333CObzaYhQ4Zo1KhRjV5BBXzFeVUxL3emFq9JrXe/+u4wpFEIAAB8hSyNUFXfHYZmNQqrc9htSoqL1bT5+S32mgAQzLxqFpaVlWnbtm0aPHjwDyeIiNDgwYO1efNmt8cMHDhQ27ZtcwWar776SqtXr9awYcPqfZ3S0lIVFxfX+AGaIzujq3p1aeua7Lg+9TUMq6NRCAAAmoIsjVBXX8OwupZuFDpldUtmWDIAeMirZuGJEydUUVGhjh071tjesWNHFRUVuT3mnnvu0YwZM3TDDTcoMjJS3bt3V1ZWlqZOrTtnhdPMmTOVmJjo+klNrf9uMMBTPdslyGG3SVKjDcPYNq3dPhfbpjWNQgAA0CRkaYSD3ImPqGPnzm6f69i5symNQqfqCyE2Nq85AIQzv6+GvGHDBj3zzDN64YUXtH37dr311lv661//qqeeeqreY6ZMmaLTp0+7fg4dOuTvMhFGHHabLLLUe0Wx8F33cxRKVUOSa6+SDAAA4C9kaQSbxXOfdzv0WKoaklx7lWQzVL+BYOPaL80tBgACkFcLnLRv315Wq1VHjx6tsf3o0aPq1KmT22OeeOIJ3XfffcrNzZUk2e12nTt3Tnl5eXr88ccVEVG3XxkdHa3o6GhvSgO8MtyeJkOGak90XN+qx9U5n+cOQwAA4A2yNEJdfaseV+d83sw7DKWqhuE7n3+tvNyZkqTdB180tR4ACCRe3VkYFRWlPn36aN26da5tlZWVWrdunQYMGOD2mJKSkjohxmq1SpIMw/C2XsBnqk90vHHtl/U2Ct0NSd6yfCN3GAIAAK+QpRHK6msUuhuS/My0qQFxh6FzWLKkBhdCBIBw4/Uw5EmTJmnRokV65ZVXtGvXLk2YMEHnzp3TuHHjJEljxozRlClTXPtnZ2dr/vz5eu2117R//36tXbtWTzzxhLKzs11BBzCLc6LjHvE93TYKrx81SPf+Ls/toic0DAEAgLfI0ghF9TUKp854Rpu/+JfbRU8CpWEoVd1E4FwIkWHJAODlMGRJGjlypI4fP65p06apqKhI11xzjd577z3XRM1ff/11jaufv/71r2WxWPTrX/9a33zzjTp06KDs7Gw9/fTTvnsXQDMc3bBSf35hdp3t1Vc9dv5v7YYiQ5IBAIA3yNIINQ01Cp1DjZ3/W3u/QBmSLFU1DFfv/oZhyQCgJjQLJWnixImaOHGi2+c2bNhQ8wVatVJ+fr7y8/Ob8lKA37WOi6uzrUOfK+s0AOtrGEbGRPqvOAAAEHLI0ggl7rJ09UahU30NQ3fHm2VYeookaeXOA1q8JlW5Q1gcCEB48vtqyECgGzX2Z3p6zg9DIG6f+N+aMmeFVhQcrrNv76F9agxJzhx3s3rd1LtF6gQAAAACTe0s7a5R6JQ78ZEaQ5KfnvO8Ro39md9r9Fb1YcnuvhMAQKhr0p2FQKhxhpRzZ88qd+IjeufzrzVtfr4eXbSmzhVF5x2GkTGRNAoBAAAQ9mpn6YY4n28dFxeQjUIn57DkafPzNfmxhRr7MHOEAggfFiMIllErLi5WYmKidhw4oviEBLPLQRhZufOAJOYsAYBAUPZ9qZY88IJOnz6tBPIA4DGyNNB0q3d/o7Lycq3Yuk+9O2wwuxwAaBZP8zTDkIEGOOw2SVJ6Wo65hQAAAABoccPSU+Sw2zSib3eGJQMIGzQLgUY47DZZLRFKT8vRknkVZpcDAAAAoIU57DYlxcVq2nwWGwIQ+mgWAh7IzuiqqMhIFczKo2EIAAAAhKGsbsmumwgKj2eZXQ4A+A3NQsBDw9JT1KtLWxXMytPGtV+aXU5I27W+UIXvbvNo38J3t2nX+kI/VwQAAABU3UQQ6MOSydIAmovVkAEv9GyXoH3Hzygvd6YkFj7xh13rC7Xp5XWux87Vp90pfHebtizf6HrM6tQAAABoCQ67Te98/rWmzc/XwsVTNOiWy80uSRJZGoBvcGch4CXnJMeSGH7gY7XDzZblG+u9Klo73Gx6eR1XRQEAANBinFMV5eXODIgFEcnSAHyFZiHQRIE+/CAYlZ8vr7PNXcipHW4aOh4AAADwl+o3Epi9ICJZGoCvMAw5HJWWKnbdWkXu3aOIc2dV2TpO5T16quTmW6ToaLOrCyoOu00b9h/TtPn5mjFhukZMvtTskoKac5hE7fDifNx7aJ96w831owY1OMwCAADAJ8jScMP5vaBgVp5pw5LJ0gB8xWIYhmF2EY0pLi5WYmKidhw4oviEBLPLCVrWoiIlLFqg+FeXyHriRJ3nKzp00Jl771fx+AdV0amTCRUGr9W7v1FZeblWbN2n3h02mF1O0KsvxMS2aa2Sf5+rs51wA4SHsu9LteSBF3T69GklkAcAj5GlfYMsDU84vxdI5s1vTpYGUB9P8zTDkMNEzKYPlTKgr5Kene023EiS9fhxJT07WykD+ipm04ctXGFwcw4/cA5LRvP0HtpH148aVGc74QYAAJiBLA1P1R6WbAayNIDmolkYBmI2fahOd90u6+lTHu1vPX1Kne66nZDTBNWDwca1X5pbTJCrL+RUR7gBAAD+RpZGU1T/XmDG/OZkaQDNQbMwxFmLipQ8ZrQsZWVeHWcpK1PymNGyFhX5qbLQ5bDbZLVEKC93pqkTHIeC3kP7KLZNa7fPxbZpTbgBAAB+RZZGczjsNiXFxWra/HxT7jIkSwNoKpqFIS5h0QKPr4LWZj19SgmLF/i2oDCRndFVSXGxKpiVp8VrUs0uJ2gVvrvN7XAJqWoYRe2V3QAAAHyJLI3myuqWLIfdJossKjye1aKvTZYG0FQ0C0NZaaniX13SrFPEv/qK5OWVVFRxBoPZ44cwj2ET1Dcxc3Vblm8k5AAAAP8gS8OHhtvTXPObt8SwZLI0gOagWRjCYtetrXcCZk9Zjx9X7AdrfFRReDJ7guNg1NAKbrURcgAAgD+QpeFrLTUsmSwNoLloFoawyL17fHOef+31yXnCmXPoAQ3DxtUXbq4fNUj3/i7P7UTNhBwAAOBrZGn4g3P0kSS/DEsmSwPwBZqFISzi3FnfnOfsGZ+cJ9wNt6dJqrrDkIVP3Gso3DgnYK5vZTdCTuN2rS/0+DMqfHebdq0v9HNFAAAELrI0/Mlht7mGJfvquwFZ2v/I0wgXrcwuAP5T2TrON+eJi/fJeVAVCjbsP6aCWXma/NhCjX3YanZJASUyJrLOturhxsn5uHYYcnc8quxaX6hNL69zPW5o9bvaQbPXTb39WhsAAIGILA1/8/V3A7K0f5GnEU64szCElffo6ZvzXNHDJ+dBlaxuyYqKjFTBrDyGJdfS66beyhx3s+uxu3DjVPuqaOa4m/kjXI/awaahK8e1g82ml9dxRRQAEJbI0mgJvvxuQJb2H/I0wg13FoawkptvUUX79s2amLmiQweVDB7iw6ogScPSUyRJK3ceUHpajnYffNHkigKHM6SUny9v8Gqd9MPVvMiYSMJNA8rPl9fZ5gww1T/j+oauuDseAIBQR5ZGS6n93aA5dxmSpf2DPI1ww52FoSw6WmfuG9usU5y5734pKso39aCO6islb1z7pbnFBJBeN/VuNNw49R7ah3DTCE/mpvFkjhsAAMIKWRotzGG3qVeXtiqYldesxU/I0r5Hnka4sRiGYZhdRGOKi4uVmJioHQeOKD4hwexygoq1qEgpA/rKevqU18dWJCbpm81bVdGpk+8LQw2rd3+jsvJyPbpojXKHHDK7HISo+gJMbJvWKvn3uTrbCTYINGXfl2rJAy/o9OnTSiAPAB4jSzcdWRpm2HOyWLuOfCdJjEAKMORpBDtP8zR3Foa4ik6ddOyPS2V4eUXTiIrSsVeXEW5ayLD0FCXFxWr2+CHNuooINKS+K6IEGwAA3CNLwww92yXUGIG0eE2quQXBhTyNcEGzMAycz7xRRW+8rYrEJI/2r0hMUtGbK3X+hrr/EYT/ZHVLlsNu04i+3RmWDL+pL+BUR7ABAOAHZGmYxTksefb4IVpRcNjscnAReRrhgGZhmDifeaO+2bxVpyY9qooOHdzuU9Ghg05NelTfbN5KuDGRw26TRRbl5c40uxSEqN5D+yi2TWu3z8W2aU2wAQCgFrI0zNKzXYKS4mI1bX5+s1dLhu+QpxHqmLMwHJWVKfaDNYr8115FnD2jyrh4lV/Ro2qlNiZgDhjvfP61KoxKrdi6T707bDC7HISQ+uZaceJKKAIVcxYCTUOW9jGyNEyyaudBGTKY5zwAkKcRrDzN061asCYEiqgolQz7D7OrQCOyM7pqz8lijegrTX5sncY+bDW7JISAxoKNJNfzBBwAANwgS8Mkw+1p2rD/mGaPH6IZE6ZrxORLzS4pLJGnEQ4YhgwEsJ7tEtSrS1sVzMrTknkVZpeDINfQ6m21bVm+UYXvbmuJsgAAAOChrG7JDEs2EXka4YJmIRDgnPOUFMzKIxCgyeoLNtePGqR7f5fndpJmAg4AAEDgcS6MaJGF7wctiDyNcEKzEAgCBAI0R0PBxjk0or5V3Qg4AAAAgWm4PU2SlJ6WwygkPyNPI9zQLASCSPVAsKLgsMnVIFhExkTW2eZu0uX6Ao674wEAAGA+h93mmraImwr8hzyNcEOzEAgyDrvNNU/J4jWpZpeDINDrpt7KHHez63FDq7PVDjiZ425Wr5t6+71GAAAANE3Pdgly2G2yWiK4qcBPyNMIN6yGDAShrG7J2nOyWLPHD9GKrfvUu8MGs0tCgHMGlPLz5Y2uyuZ8PjImkmADAAAQJLIzuuqdz7/WtPn5mvzYQo192Gp2SSGFPI1wQrMQCFI92yWoZ7uEi4+6a+HiKRp0y+Wm1oTA5k1QaSwAAQAAIPBkZ3TVnpPFKpiVJ0naffBFkysKLeRphAuahYCvlJYqdt1aRe7do4hzZ1XZOk7lPXqq5OZbpOhov72sw27Tqp0HlZc706cNw1blF3RV4UF1OnJSMaXlOh8dqaIu7fRF7zRdiOQ/HQAAAPAhk7K035j4fpw3Fbzz+ddKT8uhYQjAa3zjB5rJWlSkhEULFP/qEllPnKjzfEWHDjpz7/0qHv+gKjp18ksNw+1pWr37G+Xlzmz2sOSEU2f147Wf6UcbPlfCme/rPF+cEKu/3XiV/u+Wa1ScFNeMqgEAABDuAiFL+1IgvZ/sjK5atfOg0tNy9OiiNcodcsivrwcgdFgMwzDMLqIxxcXFSkxM1I4DRxSfkND4AUALidn0oZLHjJb19KlG961ITNKxPy7V+cwb/VrTyp0HmhwGevzzkB58/h21LiltdN9zsdFa8Ei29l7JIisAWkbZ96Va8sALOn36tBLIA4DHyNIIVIGYpZsjkN/Pyp0HJImpi4Aw52meZjVkoIliNn2oTnfd7lEYkCTr6VPqdNftitn0oV/rcthtmj1+iNLTcrRx7ZceH9fjn4f0yOy3PWoUSlLrklI9Mvtt9fgnVygBAADgnUDN0k0V6O/HuVpyXu7MFnk9AMGtSc3CefPmyWazKSYmRv3799cnn3zS4P6nTp3Sww8/rM6dOys6Olo9evTQ6tWrm1QwEAisRUVKHjNalrIyr46zlJVVXW0sKvJTZVUcdpuiIiM9DgMJp87qweffUeSFCq9eJ/JChR58/h0lnDrblDIBAAhLZGmEu0DP0t4KlveTndFVFlmUnpajxWsYHQSgfl43C19//XVNmjRJ+fn52r59u66++mrdeuutOnbsmNv9y8rKdMstt+jAgQN68803tWfPHi1atEgpKSnNLh4wS8KiBR5fNazNevqUEhYv8G1BbgxLT3GFgcb8eO1nHt9RWFvrklLdtHZHk44FACDckKWB4MjS3gim9zPcntbkkUgAwofXzcI5c+Zo/PjxGjdunK688kotWLBAsbGxeumll9zu/9JLL+m7777TypUr9aMf/Ug2m0033nijrr766mYXD5iitFTxry5p1iniX31F8vLKY1MMt6e5GoZL5rm/a7BV+QX9aMPnzXqdGz78XFYv70oEACAckaUR9oIoS3skSN+PtyORAIQXr5qFZWVl2rZtmwYPHvzDCSIiNHjwYG3evNntMX/+8581YMAAPfzww+rYsaMyMjL0zDPPqKKCxgKCU+y6tW5XNvOG9fhxxX6wxkcVNWy4PU29urRVwaw8FR7PqvP8VYUH3a567I2E4hJl7DjQrHMAABDqyNJA8GXpxgTz+6k+Esnd9wQA4auVNzufOHFCFRUV6tixY43tHTt21O7du90e89VXX+n//u//NHr0aK1evVpffvmlHnroIZWXlys/P9/tMaWlpSot/WFIZHFxsTdlAn4VuXePb87zr70+OY8nerarWuVoRF9J6q7dB190PdfpyEmfvEanb7/TDnX3ybkAAAhFZGkgOLN0Q4L9/Qy3p1V7VPN7AoDw5ffVkCsrK5WcnKyFCxeqT58+GjlypB5//HEtWFD/vAwzZ85UYmKi6yc1lclXETgizvlmMY+Is2d8ch5P9WyXIIfdJklKT8vRioLDkqSY0nKfnD/mfIAMBQEAIISQpRFqgjVL1ydU3k/17wkA4FWzsH379rJarTp69GiN7UePHlWnTp3cHtO5c2f16NFDVqvVta1Xr14qKipSWT3zMkyZMkWnT592/Rw6dMibMgG/qmwd55vzxMX75DzecthtsloiNG1+vlYUHNb56EifnPd8TJRPzgMAQKgiSwPBn6VrC6X34/yewLBkAF41C6OiotSnTx+tW7fOta2yslLr1q3TgAED3B7zox/9SF9++aUqKytd2/bu3avOnTsrKsp9cyE6OloJCQk1foBAUd6jp2/Oc0UPn5ynKbIzuioqMlLT5ufLes1In5yzqHNbn5wHAIBQRZYGQiNLVxdq7yc7o6scdptG9O1eYzQSgPDi9TDkSZMmadGiRXrllVe0a9cuTZgwQefOndO4ceMkSWPGjNGUKVNc+0+YMEHfffedfvGLX2jv3r3661//qmeeeUYPP/yw794F0IJKbr5FFe3bN+scFR06qGTwEB9V1DTD0lPksNt08Lob9F1cYrPOVZwQq8+vtvmmMAAAQhhZGuEuVLK0U6i9H6fqo5E2rv3S7HIAtDCvm4UjR47U7NmzNW3aNF1zzTX67LPP9N5777kmav7666/17bffuvZPTU3V+++/r3/84x/q3bu3HnnkEf3iF7/Q5MmTffcugJYUHa0z941t1inO3He/VM/dAC0tu08PfTn8rmad46MbM1TRytr4jgAAhDmyNMJeiGXpkHs/1WRndJXVEqG83JnMZQiEGYthGIbZRTSmuLhYiYmJ2nHgiOIZRoEAYC0qUsqAvrKePuX1sRWJSfpm81ZV1DM3kRmsRUVK7n+tYs54v1riudhoPVkwRsVJvpmvBQDqU/Z9qZY88IJOnz7NsErAC2RpBJpQzNKh9H7cWbnzgFZs3afeHTaYXQqAZvA0T/t9NWQgFFV06qRjf1wqw8srgEZUlI69uizgwkBFp07695+WqyLSu8VOyltZteAX2TQKAQAA4LFQzNKh9H7cqT6PIcOSgdBHsxBoovOZN6rojbdVkZjk0f4ViUkqenOlzt8wyL+FNdH5zBt17M2VHr+fc7HRev6/btfeXqn+LQwAAAAhJxSzdCi9H3ccdpuiIiMZlgyEAZqFQDOcz7xR32zeqlOTHlVFhw5u96no0EGnJj2qbzZvDfgw4Hw/+yY8onNt3K9uXJwQq9XZ1+nJgjE0CgEAANBkoZqlQ+X9uONcJFGSFq/huwAQqpizEPCVsjLFfrBGkf/aq4izZ1QZF6/yK3pUrWwWgBMWN2bvtyd0fuWf1fbr/Trz7d90PiZKRZ3b6vOrbSxmAsAUzFkINA1ZGkEhxLJ0yL0fN1buPCBJmjFhukZMvtTcYgB4xNM8TbMQQINW7TwoQwYhAIDpaBYCTUOWBuAvq3d/o7LycknS7oMvmlwNgMawwAkAnxhuT5PVEqFp8/O1ouCw2eUAAAAACBDOYckWWVR4PMvscgD4CM1CAI3KzuiqpLhYTZufz2TGAAAAAGoYbk9zrZbMDQZA8KNZCMAjWd2SXZMZ0zAEAAAAUJ3DbuMGAyBE0CwE4JXqDcMl8yrMLQYAAABAwKh+gwHDkoHgRbMQgNccdpuiIiNVMCtPG9d+aXY5AAAAAAKIw25zDUvmBgMg+NAsBNAkw9JTFBUZqbzcmQwzAAAAAFCDc1hywaw8vi8AQYZmIYAmc65+JkmL16SaWwwAAACAgOIclmyRhYYhEERoFgJoNofdptnjh4Tl6me71heq8N1tHu1b+O427Vpf6OeKAAAAgMAy3J4mqe6852RpIDC1MrsAAKHBYbdp9e5vNG1+vnYffNHsclrErvWF2vTyOtfj3kP71Ltv4bvbtGX5RtfjXjf19mttAAAAQCBx2G3ac7JYBbPytGLrPkV+/jxZGghQ3FkIwGeGpafIaokIizsMazcKtyzfWO9V0drhZtPL67gqCgAAgLDTs12CenVpq9Qj28nSQACjWQjAp7IzuioqMlLT5ueH9Mpn5efL62xzF3Jqh5uGjgcAAABCXc92CboiMbrOdrI0EDgYhgzA54alp7iGGEgKyWHJzmEStcOL83HvoX3qDTfXjxrU4DALAAAAIJTlTnxEkvTMtKk1tpOlgcBAsxCAX/Rsl6Ce7RK0cucBpaflhF3DsPC9bSr597k6xxBuAAAAgIYbhmRpwFwMQwbgVw67TVLdlc9CRe+hfXT9qEF1thNuAAAAgIblTnxEU2c8U2c7WRowF81CAH7nsNuUFBdbtfJZCC58Ul/DsDrCDQAAAFBXfQ3D6sjSQMuiWQigRWR1S1ZSXKymzc9XelqO2eX4XO+hfRTbprXb52LbtCbcAAAAAPXInfiIOnbu7PY5sjTQ8mgWAmgxWd2S5bDbZJFFhcezzC7HpwrfdT+vilQ1jKL2ym4AAAAAqiye+7yOfvut2+fI0kDLo1kIoMUNt6dpRN/uSk/LCYlhyfWt1FbdluUbCTkAAABALYvnPl9nkZPayNJAy6JZCMAUznkMp83P18a1X5pdTpPV1yh0NySZkAMAAAD8oL5GobshyWRpoOXQLARgmqxuybJaIpSXOzMo5zGsr1F4/ahBuvd3eW4XPSHkAAAAAPU3CqfOeEabv/iX20VPtizfqPfeONUC1QHhjWYhAFNlZ3SVw26TJC1ek2puMV5oqFHonIC5vlWSaRgCAAAgnDXUKMyd+Iik+ldJ/vqdl1W0xer3GoFwRrMQQEBw2G2aPX5I0NxhGBkTWWdb9UahU30NQ3fHAwAAAOGgdVxcnW3VG4VO9TUMoy9pHTTfG4BgRLMQQMBw3mEYDH/4e93UW5njbnY9dtcodKrdMMwcd7N63dTb7zUCAAAAgWjU2J/p6TnPux67axQ61W4YPj3nef3m8f+S1RKh9LQcFR7P8ne5QNhpZXYBAFCdw27Tqp0HlZ6Wo0cXrVHukENml1QvZ8Ov/Hx5vY1CJ+fzkTGRNAoBAAAQ9kaN/Zkk6dzZs/U2Cp2cz7eOi3Mdl53Rtdoe3TVjwnSNmHypX2oFwo3FMAzD7CIaU1xcrMTERO04cETxCQlmlwOgBWzYf0ynzpZo8mMLNfZh5iQBIJV9X6olD7yg06dPK4E8AHiMLA0g1L3z+deqMCq1cPEUDbrlcrPLAQKWp3maYcgAAlJWt2QlxcWqYFZeUAxLBgAAAGCO7IyuioqMVF7uTL47AD5AsxBAwMrqliyH3SaLLPzRBwAAAFCvYekpQTUHOhDIaBYCCHjD7WmSqv7oL5lXYXI1AAAAAAJV9YbhxrVfmlsMEKRoFgIICg67Tb26tFXBrDz+6AMAAACol8NuY1gy0Aw0CwEEjZ7tEvijDwAAAKBRDEsGmo5mIYCgUv2PfuHxLFNrAQAAABDYqjcMVxQcNrcYIEjQLAQQlBx2m0b07c4ffQAAAAANcg5LnjY/n7sMAQ+0MrsAAGhQaali161V5N49ijh3VpWt41Teo6dKbr5FDrtNG/Yf07T5+dp98EWzKwUAAAACSwNZWtHRZlfXooalp0iSVu08qPS0HE1+bKHGPmw1uSogMNEsBBCQrEVFSli0QPGvLpH1xIk6z1d06KAz996vm8c/qJXnIpSelqNHF61R7pBDJlSLcLZrfaHKz5er99A+je5b+O42RcZEqtdNvVugMgAAEK48zdLF4x9URadOJlRonuH2NK3e/Y0KZuVpxoTpGjH5UrNLCnvk6cBDsxBAwInZ9KGSx4yW9fSpevexHj+upGdnK/6lxbrrj0u148r/p9njh9AwRIvatb5Qm15e53rcUMApfHebtizf6HpMwAEAAP7gbZY+9selOp95Y8sVGACGpae4RihJYpSSicjTgYk5CwEElJhNH6rTXbc3GG6qs54+pU533a6r//mpenVpq9njhyg9LUcb137p30IR9moHmy3LN6rw3W1u960dbDa9vE671hf6vUYAABBempqlYzZ96N/CAlBWt2Q57DZZZFF6Wo4Wr0k1u6SwQ54OXDQLAQQMa1GRkseMlqWszKvjLGVlSh4zWleWl7j+4OflzvRTlUCV8vPldba5Czi1g01DxwMAADRVc7O0tajIT5UFtuH2NNdNB0vmVZhdTlghTweuJjUL582bJ5vNppiYGPXv31+ffPKJR8e99tprslgscjgcTXlZACEuYdECj6+C1mY9fUoJixdIqvqDzxVC+FvvoX10/ahBdbZXDzj1BZvrRw3yaE4WAKGJLA3AH3yVpcNRz3YJSoqLVcGsPFZLbkHk6cDldbPw9ddf16RJk5Sfn6/t27fr6quv1q233qpjx441eNyBAwf06KOPKjMzs8nFAghhpaWKf3VJs04R/+or0sUrqcPtaXLYbZo9fohWFBz2QYFAXQ0FnD/9YiHBBkAdZGkAfuHjLB2OnMOSrZYIpjVqQeTpwOR1s3DOnDkaP368xo0bpyuvvFILFixQbGysXnrppXqPqaio0OjRozV9+nRddtllzSoYQGiKXbfW7Upt3rAeP67YD9bU2JYUF6tp8/O5Qgi/qS/glPz7XJ1tBBsAZGkA/uCvLB2OsjO6uqY1YlhyyyBPBx6vmoVlZWXatm2bBg8e/MMJIiI0ePBgbd68ud7jZsyYoeTkZOXkePZlvbS0VMXFxTV+AIS2yL17fHOef+2t8bj6xMWFx7N88hpAbfUFnOoINgDI0gD8xV9ZOlw55zFkWHLLIU8HFq+ahSdOnFBFRYU6duxYY3vHjh1VVM9kqB999JFefPFFLVq0yOPXmTlzphITE10/qanMOQaEuohzZ31znrNn3G4fbk/TiL7dlZ6WwxVC+EXvoX0U26a12+di27Qm2AAgSwPwG39n6XDUs11CjWHJfIfwP/J04PDrashnzpzRfffdp0WLFql9+/YeHzdlyhSdPn3a9XPo0CE/VgkgEFS2jvPNeeLi633OYbe5Ji5mDhL4WuG729wOlZCqhlDUXtUNABpDlgbgqZbI0uEqO6OroiIjVTArj8UT/Yw8HThaebNz+/btZbVadfTo0Rrbjx49qk6dOtXZf9++fTpw4ICys7Nd2yorK6teuFUr7dmzR927d69zXHR0tKKjo70pDUCQK+/R0zfnuaJHg89ndUvW6t3fKC93piRp98EXffK6CG/1rdJWnfN5rogC4YssDcBfWipLh6th6Snac7JYs8cPkSQtXDxFg2653OSqQgt5OrB4dWdhVFSU+vTpo3Xr1rm2VVZWat26dRowYECd/dPT07Vz50599tlnrp/bbrtNN910kz777DOGRABwKbn5FlV4cdeEOxUdOqhk8JBG9xuWniKH3SZJXB1Es9UXbNwNodiyfCNXRIEwRpYG4C8tmaXDlXNYclRkpPJyZzIfug+RpwOPV3cWStKkSZN0//33q2/fvrruuuv03HPP6dy5cxo3bpwkacyYMUpJSdHMmTMVExOjjIyMGscnJSVJUp3tAMJcdLTO3DdWSc/ObvIpztx3vxQV5fH+DrtN4uogmqG+YOOcfNnd81wRBcIbWRqAX5iQpcPVsPQU1++PLtqn3CFM9dAc5OnA5HWzcOTIkTp+/LimTZumoqIiXXPNNXrvvfdcEzV//fXXiojw61SIAEJU8fgHFf/SYllPn/L62IrEJBXnPuj1cQ67Te98/rXycmcyJBleaSzYSD8EGAIOACeyNAB/MSNLhzNuPGg+8nTgshiGYZhdRGOKi4uVmJioHQeOKD4hwexyAPhRzKYP1emu22UpK/P4GCMqSkVvrtT5GwY1+XXf+fxrVRiVWrF1n3p32NDk8yB87FpfqE0vr6uxrXqwqc5dEMocd7N63dTbrzWGmrLvS7XkgRd0+vRpJZAHAI+RpYHwYVaWDmerd3+jsvJyScyH7i3ydMvzNE9z2RJAQDmfeaOK3nhbFYlJHu1fkZjkk3CTndFVDrtNI/p215J5Fc06F8JDr5t6K3Pcza7H9QUbqeqK5/Wjfvh3lGADAAD8wawsHc6qz4fOPIbeIU8HLq+HIQOAv53PvFHfbN6qhMULFP/qK7IeP15nn4oOHXTmvvtVnPugKtysINlUvbq0VcGsPElcGUTjnAGl/Hx5o0MgnM9HxkQSbAAAgN+YmaXDmbNhKHXXjAnTNWLypWaWEzTI04GJYcgAAltZmWI/WKPIf+1VxNkzqoyLV/kVPapWavPjBMzOYck0DIHAwTBkoGnI0kAYMylLhzOGJSOQeZqnubMQQGCLilLJsP9o8ZfNzuiqlTsPKD0tR5MfW6ixD1tbvAYAAACgWUzK0uHMuVryqp0HVXg8i/nQEZSYsxAA6uGw21zDklcUHDa7HAAAAABBYrg9TSP6dld6Wg7fJRB0aBYCQAN6tktQUlysps3PV3pajtnlAAAAAAgSDruN7xIISjQLAaARWd2S5bDbZJGFFc4AAAAAeIzvEghGNAsBwEMMJQAAAADQFNW/SyyZV2F2OUCDaBYCgBeqDyXYuPZLs8sBAAAAECSc3yUKZuUxLBkBjWYhAHgpq1uyrJYI5eXOZCgBAAAAAI85hyVbLRE0DBGwaBYCQBNkZ3SVw27TiL7dtXhNqtnlAAAAAAgi2RldJYlhyQhINAsBoBkcdptmjx+i9LQchiUDAAAA8JjDblOvLm0ZloyAQ7MQAJrJYbcpKjJSebkzzS4FAAAAQBDp2S6hxrBkpjlCIKBZCAA+MCw9RRZZlJ6Ww7BkAAAAAF5hmiMEEpqFAOAjw+1prmHJzDsCAAAAwFu9urRlmiOYjmYhAPhYUlws844AAAAA8JpzWLJzmiO+U8AMNAsBwMeyuiXLYbe5hiUDAAAAgDeGpafIYbdJEsOS0eJoFgKAnwy3p0mS0tNyGJYMAAAAwGvOaY4YloyWRLMQAPzIYbepV5e2KpiVpxUFh80uBwAAAECQYVgyWhrNQgDws57tEhQVGalp8/P54w4AAADAa9WHJRcezzK1FoQ+moUA0AKq/3GnYQgAAACgKRx2m0b07a70tBxGLsFvaBYCQAuq3jDkjzsAAAAAbzmHJTNyCf5CsxAAWpjDblNSXKymzc83uxQAAAAAQcg5cskiCw1D+BzNQgAwQVa3ZFktEUpPy2HOEQAAAABNMtyeJomRS/AtmoUAYJLsjK6uOUeWzKswuxwAAAAAQaj6yCXuMoQv0CwEAJP16tJWBbPylJ6Wo41rvzS7HAAAAABBJqtbco1hyYvXpJpdEoIYzUIAMFnPdgly2G2yWiKUlzvT7HIAAAAABKnh9jQ57DbNHj+E0UtoMpqFABAgsjO6ciUQAAAAQLMlxcW6Ri8B3qJZCAABZLg9Tb26tNXs8UOYoBgAAABAkziHJbOoIpqildkFAABq6tkuQd8Wn9e0+fmSpN0HXzS5IgAAAADBKDujq+v3RxftU+6QQyZWg2DBnYUAEIBqT1AMAAAAAE3lHL3Edwt4gmYhAASw4fY0SVJ6Wg7DkgEAAAA0SfVFFRmWjMbQLASAAOew25QUF6tp8/NZ0QwAAABAk2VndJXDbtOIvt25IQH1olkIAEEgq1syK5oBAAAA8InqNyRsXPul2eUgwNAsBIAg4ZzHUJIWr0k1txgAAAAAQS2rW7KiIiOVlzuTGxJQA81CAAgyDrvNNTkxVwEBAAAANNWw9BTXDQnpaTlMewRJNAsBICg57DbXVUAAAAAAaA6H3aZeXdqqYFYeNySAZiEABKth6SmyyKL0tByGJQMAAABolp7tEhiWDEk0CwEgqA23p7mGJTc2ZGDX+kIVvrvNo/MWvrtNu9YX+qJEAAAAICQsX/KSFs993qN9F899XsuXvOTninyPYcmQpFZmFwAAaD7nkAFJ2n3wxTrP71pfqE0vr3M97j20T73nKnx3m7Ys3/jDuW/q7cNKAQAAgOCzfMlLenzSI67HuRMfqXffxXOf1zPTproejxr7M7/W5g8Ou017Tha7vmMsXDxFg2653OSq0FK4sxAAQkDPdgly2G2yWiLqDBmo3SjcsnxjvXcY1m4Ubnp5HXcYAgAAIKzVbhQ+M21qvXcY1m4UPj7pkaC8w1D64TuGRRbmSg8zTWoWzps3TzabTTExMerfv78++eSTevddtGiRMjMz1aZNG7Vp00aDBw9ucH8AQNNlZ3SVVHPIQPn58jr7uWsY1m4UOrk7HgDQdGRpAAgu586erbPNXcOwdqOwoeODyXB7GnOlhxmvm4Wvv/66Jk2apPz8fG3fvl1XX321br31Vh07dszt/hs2bNCoUaO0fv16bd68WampqRoyZIi++eabZhcPAKir+kpmi9ekqvfQPrp+1KA6+1VvGNbXKLx+1KAGhywDALxDlgaA4JM78RFNnfFMne3VG4b1NQqnznimwSHLwaL6XOnpaTmsmBziLIZhGN4c0L9/f/Xr109z586VJFVWVio1NVU///nPNXny5EaPr6ioUJs2bTR37lyNGTPGo9csLi5WYmKidhw4oviEBG/KBYCwtWH/MZ06WyKpah7D+hqCsW1aq+Tf5+psp1GIQFP2famWPPCCTp8+rQTyAIIUWRoAgld9DcGOnTvr6Lff1tkeKo3C2lbv/kZl5eWaMWG6Rky+1Oxy4AVP87RXdxaWlZVp27ZtGjx48A8niIjQ4MGDtXnzZo/OUVJSovLycrVt29ablwYAeCmrW7JrjpH0tJx67zCkUQgALYMsDQDBrb47DMOpUShVrZhstURo2vx8hiWHKK+ahSdOnFBFRYU6duxYY3vHjh1VVFTk0Tn++7//W126dKkRkmorLS1VcXFxjR8AQNNUn2Nk946ObhuG1dEoBAD/IEsDQPCrr2FYXSg3Cp2yM7rWGJa8ouCw2SXBh1p0NeSCggK99tprevvttxUTE1PvfjNnzlRiYqLrJzWVTjUANMdwe5qS4mI1bX6+eg/to9g2rd3uF9umNY1CAAhQZGkACAy5Ex9Rx86d3T7XsXPnkG8UVuew2xQVGalp8/OVnpZjdjnwEa+ahe3bt5fVatXRo0drbD969Kg6derU4LGzZ89WQUGB1qxZo969eze475QpU3T69GnXz6FDh7wpEwDgRla3ZFktESraYnU79FiqGpJce5VkAIBvkKUBIDQsnvu826HHUtWQ5NqrJIe6YekprumPCo9nmV0OfMCrZmFUVJT69OmjdevWubZVVlZq3bp1GjBgQL3HzZo1S0899ZTee+899e3bt9HXiY6OVkJCQo0fAEDzHd2wUn9+YXaD+1RfJRkA4DtkaQAIfvUtclJd9VWSw8lwe5pG9O3OsOQQ4PUw5EmTJmnRokV65ZVXtGvXLk2YMEHnzp3TuHHjJEljxozRlClTXPv/5je/0RNPPKGXXnpJNptNRUVFKioq0tmzZ333LgAAjaov2LS6pO5QNhqGAOAfZGkACF4NrYZcW7g2DB12m2v6I4YlBy+vm4UjR47U7NmzNW3aNF1zzTX67LPP9N5777kmav7666/1bbXbcefPn6+ysjLdeeed6ty5s+tn9uyG72wBAPhOfcHm9on/rVnvbXW76AkNQwDwPbI0AASn+vL01BnPaPMX/3K76Em4NgyzuiW7hiWnp+WwYnIQshiGYZhdRGOKi4uVmJioHQeOKJ5hFADglYaCTe7ER7Rq50EZMvSrX06Vsf3PdfZjdWQEirLvS7XkgRd0+vRphlUCXiBLA0DzNJanvd0vnOw5WaxdR77T5McWauzDVrPLCXue5ulWLVgTAMAErePi6myrHliG29OqNj77jH71S9VpGEbGRPq9RgAAACBQNZannZyPazcM3R0fLnq2S9C3xedVMCtPkrT74IsmVwRPeD0MGQAQXEaN/ZmenvPD8If6rmz26tJW//vsM7rtoUdd2zLH3axeNzW86iYAAAAQyjzN01JVw7D6kOSn5zyvUWN/5vcaA1ntYcmsmBz4uLMQAMKAM6CcO3u23mDTs12CerZLkEVVk+x/sm0NjUIAAABAnuVpJ+fzrePiwr5RWJ1rRJMkqTt3GQYw5iwEANThnMeQuUUQSJizEGgasjQAINCs3HlAEsOSW5qneZphyACAOobb09SrS1sVzMpjmAAAAAAAn3LYbbJaIhiWHKAYhgwAcMs5LLkKwwQAAAAA+E52Rtdqj7prxoTpGjH5UtPqwQ+4sxAA0CCH3SZJWrwm1dxCAAAAAIQch92mpLhYTZufr41rvzS7HIhmIQDAAw67TbPHD1F6Wo5WFBw2uxwAAAAAISSrW7Kslgjl5c5UelqO2eWEPZqFAACPOOw2RUVGatr8fLNLAQAAABBisjO6ukY1paflaMm8CnMLCmM0CwEAHhuWnsJExAAAAAD8xmG3uRZb5C5Dc9AsBAB4xXnFb0Tf7jQMAQAAAPhcz3YJcthtsshCw9AErIYMhKPSUsWuW6vIvXsUce6sKlvHqbxHT5XcfIsUHW12dQgSvbq01Yi+EislAwCAsEKWBlrMcHuaVu48oPS0HE1+bKHGPmw1u6SwQLMQCCPWoiIlLFqg+FeXyHriRJ3nKzp00Jl771fx+AdV0amTCRUimPRsl6Ce7RL0zudfKz0tRwsXT9GgWy43uywAAAC/IEsD5nDYbdpzslgFs/Ikie8dLYBhyECYiNn0oVIG9FXSs7PdhhtJsh4/rqRnZytlQF/FbPqwhStEsMrO6OpauWzxmlSzywEAAPA5sjRgLuewZOf3jhUFh80uKaTRLATCQMymD9XprttlPX3Ko/2tp0+p0123E3LgseyMrurVpa1mjx/CnCIAACCkkKWBwOG8UWHa/HxuVPAjmoVAiLMWFSl5zGhZysq8Os5SVqbkMaNlLSryU2UINc6rfZJoGAIAgJBAlgYCj3PBReeNChvXfml2SSGHZiEQ4hIWLfD4Kmht1tOnlLB4gW8LQsirvmrZknkVZpcDAADQZGRpIHA57DZFRUYqL3cmNyv4GM1CIJSVlir+1SXNOkX8q69IXl5JBYbb0xQVGamCWXnMJwIAAIITWRoIeMPSU2qMbuK7h2/QLARCWOy6tfVOwOwp6/Hjiv1gjY8qQjgZlp6ipLhYTZufz9AAAAAQdMjSQPBw3mXIdw/foFkIhLDIvXt8c55/7fXJeRB+srolu1YsY2gAAAAIJmRpILgMS09hWLKP0CwEQljEubO+Oc/ZMz45D8KTcwJiSSo8nmVqLQAAAJ4iSwPBp/awZFZMbhqahUAIq2wd55vzxMX75DwIbw67TSP6dmfFMgAAEBTI0kDwctht6tWlrWaPH0LDsAloFgIhrLxHT9+c54oePjkPUH3FMiYfBgAAgYwsDQS3nu0SlBQXq9njhzAs2Us0C4EQVnLzLapo375Z56jo0EElg4f4qCKgamiA1RKhafPzucoHAAACFlkaCH5Z3ZLlsNtkkYVhyV6gWQiEsuhonblvbLNOcea++6WoKN/UA1zknMeQq3wAACBgkaWBkDHcnlbj+wfTIjWMZiEQ4orHP6iKxKQmHVuRmKTi3Ad9WxBQTfXJhwEAAAINWRoILdWnReIuw/rRLARCXEWnTjr2x6UyvLyiaURF6diry1TRqZOfKgOqOOw2WS0RSk/L0ZJ5FWaXAwAA4EKWBkLPsPQU11yGhcezzC4nILUyuwAA/nc+80YVvfG2kseMlvX0qUb3r0hM0rFXl+n8DYP8XxygqmHJq3d/o4JZeZr82EKNfdjqeq5V+QVdVXhQnY6cVExpuc5HR6qoSzt90TtNFyL5MwYAAPyLLI2gV1qq2HVrFbl3jyLOnVVl6ziV9+ipkptvkaKjza7OFFndkqs96q4ZE6ZrxORLTasn0FgMwzDMLqIxxcXFSkxM1I4DRxSfkGB2OUDQshYVKWHxAsW/+oqsx4/Xeb6iQwedue9+Fec+yFVQmGLPyWLtOvKdJOnIjt/px2s/0482fK6EM9/X2bc4IVZ/u/Eq/d8t16g4Ka6lS4UJyr4v1ZIHXtDp06eVQB4APEaWBnyDLI1gYy0qUsKiBYp/dYmsJ07Ueb6iQweduff+quH2Yfzv7Ord36isvFyStPvgiyZX41+e5mmahUA4KitT7AdrFPmvvYo4e0aVcfEqv6JH1UptTMCMALD1lRXKfuI/FXO2uNF9z8VGa8Ej2dp7JXOOhDqahUDTkKUBHyNLIwjEbPrQu7th/7hU5zNv9H9hAWzVzoMyZOjRRWuUO+SQ2eX4Bc1CAEBQitn0oTrddbssZWUeH1PeyqrnH72dhmGIo1kINA1ZGgDCS1PytBEVpaI33g77huGG/cd06mxJyA5L9jRPs8AJACBgWIuKlDxmtFfBRpIiL1ToweffUcKps36qDAAAAAh8Tc3TlrKyqjsRi4r8VFlwyOqWrKS4WE2bn6/0tByzyzENzUIAQMBIWLTAo6ES7rQuKdVNa3f4tiAAAAAgiDQnT1tPn1LC4gW+LSgIZXVLlsNuk0UWpaflaPGa8Bu9RLMQABAYSksV/+qSZp3ihg8/l/VChW/qAQAAAIKJD/J0/KuvSF7elRiqhtvT5LDbNHv8EKWn5WhFwWGzS2oxNAsBAAEhdt1at6u0eSOhuEQZOw74piAAAAAgiPgiT1uPH1fsB2t8VFFocNhtioqM1LT5+WaX0mJoFgIAAkLk3j0+OU+nb7/zyXkAAACAYOKrPB35r70+OU8oGZaeIqslQulpOSo8nmV2OX7XyuwCAACQpIhzvlmcJOY8wyYAAAAQfnyVpyPOnvHJeUJNdkbXao+6h+yKyRJ3FgIAAkRl6zifnOd8TJRPzgMAAAAEE1/l6cq4eJ+cJ1Q57LaQXzGZZiEAICCU9+jpk/MUdW7rk/MAAAAAwcRXebr8ih4+OU8oq75icigOS6ZZCAAICCU336KK9u2bdY7ihFh9frXNNwUBAAAAQcQXebqiQweVDB7io4pC33B7mkb07a70tBwtmVdhdjk+Q7MQABAYoqN15r6xzTrFrttG6w//Z/NJOQAAAEBQ8UGePnPf/VIU0/p4wzksuWBWXsgMS6ZZCAAIGMXjH1RFYlKTjq1ITFLJhIc0e/yQkLqqBwAAAHiquXm6OPdB3xYUJqoPSw6FFZOb1CycN2+ebDabYmJi1L9/f33yyScN7v/GG28oPT1dMTExstvtWr16dZOKBQCEtopOnXTsj0tleHk104iK0rFXl8nW6wrXVT0ahgACFVkaAOAvzc3TFZ06+amy8DDcniaH3eYamryi4LDZJTWJ183C119/XZMmTVJ+fr62b9+uq6++WrfeequOHTvmdv+PP/5Yo0aNUk5Ojj799FM5HA45HA59/vnnzS4eABB6zmfeqKI33vb4imhFYpKK3lyp8zcMklR1VS8qMjKkhgEACB1kaQCAvzU3T6P5qq+YHIwshmEY3hzQv39/9evXT3PnzpUkVVZWKjU1VT//+c81efLkOvuPHDlS586d01/+8hfXtuuvv17XXHONFixY4NFrFhcXKzExUTsOHFF8QoI35QIAgpS1qEgJixco/tVXZD1+vM7zFR066Mx996s498F6r4Cu3HlAkrT74Iv+LBUtpOz7Ui154AWdPn1aCeQBBCmyNACgpfgiT6N53vn8a1UYlVqxdZ96d9hgdjke5+lWXp20rEzbtm3TlClTXNsiIiI0ePBgbd682e0xmzdv1qRJk2psu/XWW7Vy5cp6X6e0tFSlpaWux8XFxd6UCQAIARWdOunfv35S/35sqmI/WKPIf+1VxNkzqoyLV/kVPapWaWtkeIXDbtPKnQeUnpajhYunaNAtl7dQ9QBQF1kaANCSfJGn0TzZGV2rPequGROma8TkS02rx1NeNQtPnDihiooKdezYscb2jh07avfu3W6PKSoqcrt/UVFRva8zc+ZMTZ8+3ZvSAAChKipKJcP+o8mHO+w2rd79jfJyZ+rRRWuUO+SQD4sDAM+RpQEApmhmnkbzOew2bdh/zDUsOdBHPgXkashTpkzR6dOnXT+HDvHFDgDQdMPSU5QUF6vZ44cE/cpkANAYsjQAAIGn9orJgcyrZmH79u1ltVp19OjRGtuPHj2qTvWMb+/UqZNX+0tSdHS0EhISavwAANAczj/OzpXJNq790uySAIQZsjQAABhuT5MkpaflaMm8CpOrcc+rZmFUVJT69OmjdevWubZVVlZq3bp1GjBggNtjBgwYUGN/SVq7dm29+wMA4E/Oq3l5uTPNLgVAmCFLAwAAqeo7Sa8ubVUwKy8g7zL0ehjypEmTtGjRIr3yyivatWuXJkyYoHPnzmncuHGSpDFjxtSYtPkXv/iF3nvvPf3v//6vdu/erSeffFJbt27VxIkTffcuAADwwnB7mqyWCKWn5TAsGUCLIksDAABJ6tkuQQ67LSC/l3i1wIkkjRw5UsePH9e0adNUVFSka665Ru+9955r4uWvv/5aERE/9CAHDhyoZcuW6de//rWmTp2qK664QitXrlRGRobv3gUAAF7KzuiqPSeLNaKvNPmxdRr7sNXskgCEAbI0AACoLhBXTLYYhmGYWoEHiouLlZiYqB0HjiieOVcAAD6052Sxdh35TpK0cPEUDbrlcpMrQn3Kvi/Vkgde0OnTp5mDDfACWRoAgOCwevc3Kisv99v3Ek/zdECuhgwAQEupfvs/8xgCAAAAMMuw9BTX9xIzhyXTLAQAQFW3/1tkCcgJhgEAAACEh+yMrnLYbRrRt7tpKybTLAQA4KLh9jRJUnpajlYUHDa5GgAAAADhymG3KSku1pQVk2kWAgBQjfOP8rT5+Vq8JtXscgAAAACEqaxuyTVWTG6pGxpoFgIAUEtWt2T16tJWs8cPMXWuEAAAAADIzugqqyVC0+bnt8iw5FZ+fwUAAIJQz3YJ6tnOuUJYd1ZKBgAAAGCa7Iyu2nOyWAWz8iRJuw++6LfX4s5CAAAa4LDbZJFFebkztXHtl2aXAwAAACBM9WyXUGNYsr9GQdEsBACgEcPtaYqKjFRe7kyGJQMAAAAwlb9XTKZZCACAB4alp7j+ILPwCQAAAACzVV8x2ZejoGgWAgDgBYfdptnjhyg9LYdhyQAAAABMldUt2TUKKj0txyfnpFkIAICXHHab6w8yAAAAAJjJOQpKkk+GJdMsBACgCYalp8gii18nFgYAAAAATznsNvXq0lYFs/KadZchzUIAAJpouD3NNY+hrycVBgAAAABv+WLF5Fa+LwsAgPDivHq3Yus+9e6wwexyAAAAAIS57Iyu1R511+6DL3p8LHcWAgDQTD3bJahXl7Ya0be7zyYVBgAAAIDmqj6X4d/+7yuPjqFZCACADzhv95eq/hCvKDhsbkEAAAAAILmGJY+7/0mP9qdZCACADzn/EE+bn0/DEAAAAEBAyM7oqp9e2bXxHUWzEAAAn8vO6KqoyEhNm5/PsGQAAAAAQYVmIQAAfjAsPcU1LLkpK5ABAAAAgBloFgIA4EcOu8218AnDkgEAAAAEOpqFAAD4mcNucw1LBgAAAIBARrMQAIAWMCw9RVZLhNLTchiWDAAAACBgtTK7AAAAwkV2xg+rjz26aJ9yhxwysRoAAAAAqIs7CwEAaGG9urTV7PFDlJ6Wo41rvzS7HAAAAABwoVkIAEAL69kuwTWPYV7uTLP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      "text/plain": [
       "<Figure size 1600x1500 with 6 Axes>"
      ]
     },
     "metadata": {}
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "## 高斯核SVM\n",
    "\n",
    "对比不同gamma下的分类情况"
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "source": [
    "plt.figure(figsize=(16, 15))\n",
    " \n",
    "for i, gamma in enumerate([1, 5, 15, 35, 45, 55]):\n",
    "    # C: 惩罚系数，gamma: 高斯核的系数\n",
    "    model_rbf = svm.SVC(kernel='rbf', gamma=gamma, C= 0.0001).fit(data, label)\n",
    " \n",
    "    # ravel - flatten\n",
    "    # c_ - vstack\n",
    "    # 把后面两个压扁之后变成了x1和x2，然后进行判断，得到结果在压缩成一个矩形\n",
    "    Z = model_rbf.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "    Z = Z.reshape(xx.shape)\n",
    "\n",
    "    plt.subplot(3, 2, i + 1)\n",
    "    plt.subplots_adjust(wspace=0.4, hspace=0.4)\n",
    "    plt.contourf(xx, yy, Z, cmap=plt.cm.ocean, alpha=0.6)\n",
    " \n",
    "    # 画出训练点\n",
    "    plt.scatter(data[:6, 0], data[:6, 1], marker='o', color='r', s=100, lw=3)\n",
    "    plt.scatter(data[6:, 0], data[6:, 1], marker='x', color='k', s=100, lw=3)\n",
    "    plt.title('RBF SVM with $\\gamma=$' + str(gamma))\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1600x1500 with 6 Axes>"
      ]
     },
     "metadata": {}
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "## 测试不同SVM在Mnist数据集上的分类情况"
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "source": [
    "import sys\n",
    "from pathlib import Path\n",
    "curr_path = str(Path().absolute()) # 当前文件所在绝对路径\n",
    "parent_path = str(Path().absolute().parent) # 父路径\n",
    "sys.path.append(parent_path) # 添加路径到系统路径\n",
    "\n",
    "from Mnist.load_data import load_local_mnist\n",
    "from sklearn import svm\n",
    "\n",
    "(X_train, y_train), (X_test, y_test) = load_local_mnist(normalize=True,one_hot=False)\n",
    "\n",
    "# 截取部分数据，否则程序运行可能超时\n",
    "X_train, y_train= X_train[:2000], y_train[:2000] \n",
    "X_test, y_test = X_test[:200],y_test[:200]\n",
    "\n",
    "# C:软间隔惩罚系数\n",
    "C_linear = 100\n",
    "model_linear = svm.SVC(C = C_linear, kernel='linear').fit(X_train,y_train) # 线性核\n",
    "print(f\"Linear Kernel 's score: {model_linear.score(X_test,y_test)}\")\n",
    "for degree in range(1,10,2):\n",
    "    model_poly = svm.SVC(C=100, kernel='poly', degree=degree).fit(X_train,y_train) # 多项式核\n",
    "    print(f\"Polynomial Kernel with Degree = {degree} 's score: {model_poly.score(X_test,y_test)}\")\n",
    "\n",
    "for gamma in range(1,10,2):\n",
    "    gamma = round(0.01 * gamma,3)\n",
    "    model_rbf = svm.SVC(C = 100, kernel='rbf', gamma = gamma).fit(X_train,y_train) # 高斯核\n",
    "    print(f\"Polynomial Kernel with Gamma = {gamma} 's score: {model_rbf.score(X_test,y_test)}\")\n"
   ],
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "Linear Kernel 's score: 0.955\n",
      "Polynomial Kernel with Degree = 1 's score: 0.955\n",
      "Polynomial Kernel with Degree = 3 's score: 0.93\n",
      "Polynomial Kernel with Degree = 5 's score: 0.855\n",
      "Polynomial Kernel with Degree = 7 's score: 0.735\n",
      "Polynomial Kernel with Degree = 9 's score: 0.66\n",
      "Polynomial Kernel with Gamma = 0.01 's score: 0.96\n",
      "Polynomial Kernel with Gamma = 0.03 's score: 0.96\n",
      "Polynomial Kernel with Gamma = 0.05 's score: 0.945\n",
      "Polynomial Kernel with Gamma = 0.07 's score: 0.9\n",
      "Polynomial Kernel with Gamma = 0.09 's score: 0.835\n"
     ]
    }
   ],
   "metadata": {}
  }
 ],
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